In which of the following groups all the members have linear shape ?

Options

A. `NO_2, N_3^(-), IC I_2^(+)`
B. `N_3^(-), I_3^(-), NO_2^(+)`
C. `XeF_2, C_2H_2, SO_2`
D. `CO_2, BeCl_2, SnCl_2`

Explanation

To determine which group of compounds has all members with a linear shape, we will analyze each option step by step.

### Step 1: Analyze Option 1 - NO2-, N3-, ICl2+
1. **NO2- (Nitrite ion)**:
- Hybridization: sp² (due to one lone pair and two bond pairs).
- Shape: Bent (not linear).

2. **N3- (Azide ion)**:
- Structure: Linear.
- Hybridization: sp (due to two bond pairs and no lone pairs).
- Shape: Linear.

3. **ICl2+ (Iodine dichloride cation)**:
- Hybridization: sp³ (due to two bond pairs and two lone pairs).
- Shape: Bent (not linear).

**Conclusion for Option 1**: Not all members are linear (NO2- and ICl2+ are bent).

### Step 2: Analyze Option 2 - N3-, I3-, NO2+
1. **N3- (Azide ion)**:
- Shape: Linear.

2. **I3- (Triiodide ion)**:
- Hybridization: sp³d (due to two bond pairs and three lone pairs).
- Shape: Linear.

3. **NO2+ (Nitronium ion)**:
- Hybridization: sp (due to two bond pairs and no lone pairs).
- Shape: Linear.

**Conclusion for Option 2**: All members are linear (N3-, I3-, and NO2+ are linear).

### Step 3: Analyze Option 3 - XCF2, C2H2, SO2
1. **XCF2 (Hypothetical compound)**:
- Assume it is linear based on given information.

2. **C2H2 (Acetylene)**:
- Hybridization: sp (due to one triple bond).
- Shape: Linear.

3. **SO2 (Sulfur dioxide)**:
- Hybridization: sp² (due to one lone pair and two bond pairs).
- Shape: Bent (not linear).

**Conclusion for Option 3**: Not all members are linear (SO2 is bent).

### Step 4: Analyze Option 4 - CO2, BeCl2, SnCl2
1. **CO2 (Carbon dioxide)**:
- Hybridization: sp (due to two double bonds).
- Shape: Linear.

2. **BeCl2 (Beryllium dichloride)**:
- Hybridization: sp (due to two bond pairs).
- Shape: Linear.

3. **SnCl2 (Tin dichloride)**:
- Hybridization: sp² (due to one lone pair and two bond pairs).
- Shape: Bent (not linear).

**Conclusion for Option 4**: Not all members are linear (SnCl2 is bent).

### Final Answer
The only option where all members have a linear shape is **Option 2: N3-, I3-, NO2+**.

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